Respuesta :

Answer:

224mm²

Step-by-step explanation:formula for area of triangle = base x height x 1/2

8x10 = 80     80 / 2 = 40       40 x 4 = 160      area for square =base x height

the pyramid is comprised of four triangles and one square, all we need is to find the individual surface areas of the shapes that compose the pyramid

Ver imagen jd91672

Answer:

(a) see attached

(b) Surface area = 224 mm²

Step-by-step explanation:

A square based pyramid is made up of a square at the base and 4 congruent triangles as the sides which meet at one point.

Area of a triangle = 1/2 × base × height

⇒ area of one triangle = 1/2 × 8 × 10

                                     = 40 mm²

Area of a square = s² (where s is the side length)

⇒ area of base = 8²

                         = 64 mm²

Total surface area = 4 × area of one triangle + area of the base

                               = 4 × 40 + 64

                               = 224 mm²

Ver imagen semsee45